A posteriori discontinuous Galerkin error estimates for transient convection–diffusion equations

Alexandre Ern; Jennifer Proft

doi:10.1016/j.aml.2004.05.019

A posteriori discontinuous Galerkin error estimates for transient convection–diffusion equations

Applied Mathematics Letters ◽

10.1016/j.aml.2004.05.019 ◽

2005 ◽

Vol 18 (7) ◽

pp. 833-841 ◽

Cited By ~ 22

Author(s):

Alexandre Ern ◽

Jennifer Proft

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Diffusion Equations ◽

A Posteriori ◽

Convection Diffusion

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A posteriori error estimates for non-stationary non-linear convection–diffusion equations

CALCOLO ◽

10.1007/s10092-018-0263-6 ◽

2018 ◽

Vol 55 (2) ◽

Cited By ~ 1

Author(s):

R. Verfürth

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Diffusion Equations ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion ◽

Non Linear

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Stability analysis and error estimates of local discontinuous Galerkin methods for convection–diffusion equations on overlapping meshes

BIT Numerical Mathematics ◽

10.1007/s10543-019-00757-4 ◽

2019 ◽

Vol 59 (4) ◽

pp. 853-876 ◽

Cited By ~ 1

Author(s):

Jie Du ◽

Yang Yang ◽

Eric Chung

Keyword(s):

Stability Analysis ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Diffusion Equations ◽

Galerkin Methods ◽

Convection Diffusion ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods

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Robust A Posteriori Error Estimates for Stationary Convection-Diffusion Equations

SIAM Journal on Numerical Analysis ◽

10.1137/040604261 ◽

2005 ◽

Vol 43 (4) ◽

pp. 1766-1782 ◽

Cited By ~ 82

Author(s):

R. Verfürth

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Diffusion Equations ◽

A Posteriori ◽

Stationary Convection ◽

A Posteriori Error ◽

Convection Diffusion

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A posteriori error estimates for optimal control problems constrained by convection-diffusion equations

Frontiers of Mathematics in China ◽

10.1007/s11464-015-0456-0 ◽

2015 ◽

Vol 11 (1) ◽

pp. 55-75

Author(s):

Hongfei Fu ◽

Hongxing Rui ◽

Zhaojie Zhou

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Optimal Control Problems ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Diffusion Equations ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion

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A posteriori adaptive mesh technique with a priori error estimates for singularly perturbed semilinear parabolic convection-diffusion equations

International Journal of Computing Science and Mathematics ◽

10.1504/ijcsm.2007.016542 ◽

2007 ◽

Vol 1 (2/3/4) ◽

pp. 374

Author(s):

G.I. Shishkin

Keyword(s):

Error Estimates ◽

A Priori ◽

Adaptive Mesh ◽

Singularly Perturbed ◽

Diffusion Equations ◽

A Posteriori ◽

Convection Diffusion ◽

Priori Error Estimates ◽

Semilinear Parabolic ◽

Mesh Technique

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A posteriori error estimates for subgrid viscosity stabilized approximations of convection–diffusion equations

Applied Mathematics Letters ◽

10.1016/j.aml.2008.12.006 ◽

2009 ◽

Vol 22 (9) ◽

pp. 1418-1424 ◽

Cited By ~ 5

Author(s):

B. Achchab ◽

M. El Fatini ◽

A. Ern ◽

A. Souissi

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Diffusion Equations ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion

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Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection–diffusion–reaction problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.12.009 ◽

2010 ◽

Vol 234 (1) ◽

pp. 114-130 ◽

Cited By ~ 63

Author(s):

Alexandre Ern ◽

Annette F. Stephansen ◽

Martin Vohralík

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Diffusion Reaction ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion

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Optimal error estimates of the direct discontinuous Galerkin method for convection-diffusion equations

Mathematics of Computation ◽

10.1090/s0025-5718-2015-02923-8 ◽

2015 ◽

Vol 84 (295) ◽

pp. 2263-2295 ◽

Cited By ~ 29

Author(s):

Hailiang Liu

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Equations ◽

Optimal Error Estimates ◽

Optimal Error ◽

Convection Diffusion

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Robust A Posteriori Error Estimates for Nonstationary Convection-Diffusion Equations

SIAM Journal on Numerical Analysis ◽

10.1137/040604273 ◽

2005 ◽

Vol 43 (4) ◽

pp. 1783-1802 ◽

Cited By ~ 36

Author(s):

R. Verfürth

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Diffusion Equations ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion

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Stability Analysis and Error Estimates of Semi-implicit Spectral Deferred Correction Coupled with Local Discontinuous Galerkin Method for Linear Convection–Diffusion Equations

Journal of Scientific Computing ◽

10.1007/s10915-018-0735-5 ◽

2018 ◽

Vol 77 (2) ◽

pp. 1001-1029 ◽

Cited By ~ 1

Author(s):

Lingling Zhou ◽

Yan Xu

Keyword(s):

Stability Analysis ◽

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Diffusion Equations ◽

Convection Diffusion ◽

Local Discontinuous Galerkin ◽

Spectral Deferred Correction

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